Mathematics
Grade-7
Easy

Question

If the perimeter of a circle is 75.36 cm. Determine the area of the circle.

  1. 652.36
  2. 124.28
  3. 452.36
  4. 124.78

hintHint:

perimeter of a circle = 2πr

The correct answer is: 452.36


    space p e r i m e t e r space o f space a space c i r c l e space equals space 2 πr
perimeter space is space given space that space is space equals space 75.36
C equals 2 pi r
2 pi r equals 75.36
2 cross times 3.14 cross times r equals 75.36
r equals fraction numerator 75.36 over denominator 6.28 end fraction
straight r equals 12
text  Area  end text equals pi r squared
equals 3.14 cross times 12 squared
equals 3.14 cross times 144
equals 452.16 text  square end text text  centimeter end text

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